Open Access
February 2010 Curvature estimates for stable marginally trapped surfaces
Lars Andersson, Jan Metzger
J. Differential Geom. 84(2): 231-265 (February 2010). DOI: 10.4310/jdg/1274707313


We derive local integral and sup- estimates for the curvature of stable marginally outer trapped surfaces in a sliced space-time. The estimates bound the shear of a marginally outer trapped surface in terms of the intrinsic and extrinsic curvature of a slice containing the surface. These estimates are well adapted to situations of physical interest, such as dynamical horizons.


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Lars Andersson. Jan Metzger. "Curvature estimates for stable marginally trapped surfaces." J. Differential Geom. 84 (2) 231 - 265, February 2010.


Published: February 2010
First available in Project Euclid: 24 May 2010

zbMATH: 1201.53066
MathSciNet: MR2652461
Digital Object Identifier: 10.4310/jdg/1274707313

Rights: Copyright © 2010 Lehigh University

Vol.84 • No. 2 • February 2010
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